If ${x^2} - 3x + 2$ be a factor of ${x^4} - p{x^2} + q,\;{\rm{then}}\;\left( {p,q} \right)$ is equal to

JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Easy

1 of 1

Application +4 | -1

{x^2} - 3x + 2

be a factor of

{x^4} - p{x^2} + q,\;\mathrm{then}\;\left( {p,q} \right)

is equal to

View answer and explanation

Correct option: D

\left( {5,4} \right)

Option D ((5,4)) is correct because when

{x^2} - 3x + 2

is a factor of

{x^4} - p{x^2} + q

, the roots of

{x^2} - 3x + 2 = 0

must also be roots of

{x^4} - p{x^2} + q = 0

. Substituting these roots allows us to solve for p and q.

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